spire.math

PolynomialOverRing

trait PolynomialOverRing[C] extends PolynomialOverRng[C] with Ring[Polynomial[C]]

Linear Supertypes
Ring[Polynomial[C]], Rig[Polynomial[C]], MultiplicativeMonoid[Polynomial[C]], PolynomialOverRng[C], RingAlgebra[Polynomial[C], C], Rng[Polynomial[C]], Module[Polynomial[C], C], AdditiveCommutativeGroup[Polynomial[C]], AdditiveGroup[Polynomial[C]], PolynomialOverSemiring[C], Semiring[Polynomial[C]], MultiplicativeSemigroup[Polynomial[C]], AdditiveCommutativeMonoid[Polynomial[C]], AdditiveCommutativeSemigroup[Polynomial[C]], AdditiveMonoid[Polynomial[C]], AdditiveSemigroup[Polynomial[C]], Serializable, Serializable, AnyRef, Any
Known Subclasses
PolynomialOverField
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. PolynomialOverRing
  2. Ring
  3. Rig
  4. MultiplicativeMonoid
  5. PolynomialOverRng
  6. RingAlgebra
  7. Rng
  8. Module
  9. AdditiveCommutativeGroup
  10. AdditiveGroup
  11. PolynomialOverSemiring
  12. Semiring
  13. MultiplicativeSemigroup
  14. AdditiveCommutativeMonoid
  15. AdditiveCommutativeSemigroup
  16. AdditiveMonoid
  17. AdditiveSemigroup
  18. Serializable
  19. Serializable
  20. AnyRef
  21. Any
  1. Hide All
  2. Show all
Learn more about member selection
Visibility
  1. Public
  2. All

Abstract Value Members

  1. implicit abstract def ct: ClassTag[C]

    Definition Classes
    PolynomialOverSemiring

  2. implicit abstract def eq: Eq[C]

    Definition Classes
    PolynomialOverSemiring

  3. implicit abstract val scalar: Ring[C]

    Definition Classes
    PolynomialOverRing → PolynomialOverRng → Module → PolynomialOverSemiring

Concrete Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  6. def additive: CommutativeGroup[Polynomial[C]]

    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  9. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  10. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  11. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  12. def fromBigInt(n: BigInt): Polynomial[C]

    Definition Classes
    Ring

  13. def fromInt(n: Int): Polynomial[C]

    Definition Classes
    Ring

  14. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  15. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  16. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  17. def isOne(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

    Definition Classes
    MultiplicativeMonoid

  18. def isZero(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

    Definition Classes
    AdditiveMonoid

  19. def minus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    AdditiveGroup

  20. def multiplicative: Monoid[Polynomial[C]]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  21. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  22. def negate(x: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialOverRng → AdditiveGroup

  23. final def notify(): Unit

    Definition Classes
    AnyRef

  24. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  25. def one: Polynomial[C]

    Definition Classes
    PolynomialOverRing → MultiplicativeMonoid

  26. def plus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialOverSemiring → AdditiveSemigroup

  27. def positivePow(a: Polynomial[C], n: Int): Polynomial[C]

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  28. def positiveSumN(a: Polynomial[C], n: Int): Polynomial[C]

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  29. def pow(a: Polynomial[C], n: Int): Polynomial[C]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  30. def product(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

    Definition Classes
    MultiplicativeMonoid

  31. def sum(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

    Definition Classes
    AdditiveMonoid

  32. def sumN(a: Polynomial[C], n: Int): Polynomial[C]

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  33. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  34. def times(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialOverSemiring → MultiplicativeSemigroup

  35. def timesl(r: C, v: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialOverRng → Module

  36. def timesr(v: Polynomial[C], r: C): Polynomial[C]

    Definition Classes
    Module

  37. def toString(): String

    Definition Classes
    AnyRef → Any

  38. def tryProduct(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  39. def trySum(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  40. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  41. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  42. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  43. def zero: Polynomial[C]

    Definition Classes
    PolynomialOverSemiring → AdditiveMonoid

Inherited from Ring[Polynomial[C]]

Inherited from Rig[Polynomial[C]]

Inherited from MultiplicativeMonoid[Polynomial[C]]

Inherited from PolynomialOverRng[C]

Inherited from RingAlgebra[Polynomial[C], C]

Inherited from Rng[Polynomial[C]]

Inherited from Module[Polynomial[C], C]

Inherited from AdditiveCommutativeGroup[Polynomial[C]]

Inherited from AdditiveGroup[Polynomial[C]]

Inherited from PolynomialOverSemiring[C]

Inherited from Semiring[Polynomial[C]]

Inherited from MultiplicativeSemigroup[Polynomial[C]]

Inherited from AdditiveCommutativeMonoid[Polynomial[C]]

Inherited from AdditiveCommutativeSemigroup[Polynomial[C]]

Inherited from AdditiveMonoid[Polynomial[C]]

Inherited from AdditiveSemigroup[Polynomial[C]]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped